What is (x-5)^{(2)}=-46(y-1) ?

The solution to (x-5)^{(2)}=-46(y-1) is Parabola with (h,k)=(5,1),p=-23/2

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(x-5)^{(2)}=-46(y-1)

(x - 5)^{(2)} = - 46 (y - 1)

(h, k) = (5, 1), p = - \frac{23}{2}

Solution steps

(x - 5)^{2} = - 46 (y - 1)

Rewrite

(x - 5)^{2} = - 46 (y - 1)

in the standard form:

4 (- \frac{23}{2}) (y - 1) = (x - 5)^{2}

Therefore parabola properties are:

(h, k) = (5, 1), p = - \frac{23}{2}

4 x^{2} + 4^{2} + 4 x + 4 y + 4 = 0

(x + 7)^{2} = - 2 (y - 6)

(x - 2)^{2} = - 2 y

x = 5 y^{2} + 10 y - 15

y^{2} + 6 y + 4 x - 3 = 0

What is (x-5)^{(2)}=-46(y-1) ?
The solution to (x-5)^{(2)}=-46(y-1) is Parabola with (h,k)=(5,1),p=-23/2